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Finding the Third Proportional to 1,054.97 and 2,442.23

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Solution

The third proportional to 1,054.97 and 2,442.23 is: 5,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.97 : 2,442.23 = 2,442.23 : x
  2. Step 2: Convert to fraction form
    1,054.97/2,442.23 = 2,442.23/x
  3. Step 3: Cross multiply
    1,054.97x = 2,442.23 × 2,442.23
  4. Step 4: Simplify right side
    1,054.97x = 5,964,508.74
  5. Step 5: Solve for x
    x = 5,964,508.74/1,054.97
  6. Step 6: Final answer
    x = 5,653.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.